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Q.

If $A : B = 7 : 9$ and $B : C = 6 : 7$ then $A : C$ is

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a

1 : 3

b

2 : 7

c

3 : 2

d

2 : 3

answer is A.

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Detailed Solution

\frac{A}{B} = \frac{7}{9}

and

\frac{B}{C} = \frac{6}{7}

$A : C = \frac{A}{C} = \frac{A}{B} \times \frac{B}{C}$

$= \frac{7}{9} \times \frac{6}{7} = \frac{2}{3}$

$A : C = 2 : 3$

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